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The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass (Hardcover, 1986 ed.)
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The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass (Hardcover, 1986 ed.)
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"The true method of foreseeing the future of mathematics is to
study its history and its actual state." With these words Henri
Poincare began his presentation to the Fourth International
Congress of Mathematicians at Rome in 1908. Although Poincare
himself never actively pursued the history of mathematics, his
remarks have given both historians of mathematics and working
mathematicians a valuable methodological guideline, not so much for
indulging in improbable prophecies about the future state of
mathematics, as for finding in history the origins and moti va
tions of contemporary theories, and for finding in the present the
most fruitful statements of these theories. At the time Poincare
spoke, at the beginning of this century, historical research in the
various branches of rna thema tics was emerging with distinctive
autonomy. In Germany the last volume of Cantor's monumental
Vorlesungell iiber die Gesehiehte der Mathematik had just appeared,
and many new specialized journals were appearing to complement
those already in existence, from Enestrom's Bibliotheea mathematiea
to Loria's Bollettino di bibliogra/ia e di storia delle seienze
matematiehe. The annual Jahresberiehte of the German Mathematical
Society included noteworthy papers of a historical nature, as did
the Enzyklopadie der mathematisehen Wissenseha/ten, an imposing
work constructed according to the plan of Felix Klein.
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